1406631654016 has 32 divisors (see below), whose sum is σ = 2816793602100. Its totient is φ = 699671691264.

The previous prime is 1406631653989. The next prime is 1406631654019. The reversal of 1406631654016 is 6104561366041.

It can be written as a sum of positive squares in 2 ways, for example, as 1353499560000 + 53132094016 = 1163400^2 + 230504^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1406631654016² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1406631654019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28445011 + ... + 28494418.

Almost surely, 2^{1406631654016} is an apocalyptic number.

1406631654016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1406631654016 is an abundant number, since it is smaller than the sum of its proper divisors (1410161948084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1406631654016 is an equidigital number, since it uses as much as digits as its factorization.

1406631654016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56939636 (or 56939624 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 1406631654016 in words is "one trillion, four hundred six billion, six hundred thirty-one million, six hundred fifty-four thousand, sixteen".